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1023343410342 = 2311232107273929
BaseRepresentation
bin11101110010001000000…
…01010011110010100110
310121211102120011112111110
432321010001103302212
5113231301403112332
62102041212445450
7133635255315651
oct16710401236246
93554376145443
101023343410342
11364aa7749660
121463b7779886
1375668544696
143775c7a8898
151b945cac4cc
hexee44053ca6

1023343410342 has 96 divisors (see below), whose sum is σ = 2355868126080. Its totient is φ = 293848044160.

The previous prime is 1023343410311. The next prime is 1023343410373. The reversal of 1023343410342 is 2430143433201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1023343410311) and next prime (1023343410373).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3598834 + ... + 3872762.

It is an arithmetic number, because the mean of its divisors is an integer number (24540292980).

Almost surely, 21023343410342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023343410342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177934063040).

1023343410342 is an abundant number, since it is smaller than the sum of its proper divisors (1332524715738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023343410342 is a wasteful number, since it uses less digits than its factorization.

1023343410342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274098 (or 274075 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1023343410342 its reverse (2430143433201), we get a palindrome (3453486843543).

The spelling of 1023343410342 in words is "one trillion, twenty-three billion, three hundred forty-three million, four hundred ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 107 138 214 253 321 506 529 642 759 1058 1177 1518 1587 2354 2461 3174 3531 4922 5819 7062 7383 11638 14766 17457 27071 34914 54142 56603 81213 113206 162426 169809 273929 339618 547858 622633 821787 1245266 1643574 1867899 3013219 3735798 6026438 6300367 9039657 12600734 18079314 18901101 29310403 37802202 58620806 69304037 87931209 138608074 144908441 175862418 207912111 289816882 322414433 415824222 434725323 644828866 674139269 869450646 967243299 1348278538 1593992851 1934486598 2022417807 3187985702 4044835614 4781978553 7415531959 9563957106 14831063918 15505203187 22246595877 31010406374 44493191754 46515609561 93031219122 170557235057 341114470114 511671705171 1023343410342